LESSON THREE

During todays lesson, we covered the following topics:
~Theorem 6~

~Theorem 7~

Resources used during todays lesson

• To view the Powerpoint presentation of Theorem 6 and Theorem 7, click those theorems in the following link. Click HERE
• The Geogebra Interactive Construction of Theorem 6. Click HERE. (***Please click the back arrow to return to the blog - do not press the exit button***)
• The Geogebra Interactive Construction of Theorem 7. Click HERE.

• The quiz reviewed towards the end of the class is linked in the final section of this blog and saved as 'Quiz 3'

• Tonights homework sheet. Click HERE Solutions are further down the blog.

Theorem 6

Theorem 6 states that

"The diagonal of a Parallelogram bisects its area"

About Theorem 6

Theorem 6 is one of the most basic theorems on the course. It involves a straightforward proof that two triangles are congruent. Therefore, I have included a review of Congruent triangles below for your convenience.

Review of congruent triangles

If you wish to review the theory behind Congruent Triangles, please click here.

Interactive presentation of Congruent Triangles

For an instructional presentation relevant to this Theorem, click here

Powerpoint Presentation of Theorem 6

To view a Powerpoint Presentation of Theorem 6 please click here.

Second presentation of Theorem 6

To view a second Presentation of Theorem 6, please click here. (** when exiting, close current tab only**)

An extra question on Theorem 6 for you to try when revising

To see a very typical examination question on the theorem (and quite a difficult question at that!!) click here.

Worked solution to the extra question
To view a worked solution to the extra question, please click here.

Videoed lesson showing Theorem 6 being taught

To view this video, click on the screen below.

Theorem 7

states that

"if a line touches a circle at point t and is perpendicular to the diagonal of the circle at point t, then it is a tangent to the circle at that point"

About Theorem 7

Theorem 7 is quite a complex theorem and one of the most difficult which we have studied. It is, however, a very popular theorem in the Junior Certificate so please know it backwards!

A Powerpoint Presentation of Theorem 7

To view a second Powerpoint Presentation of Theorem 7 please click here. Please follow the template shown whenever you are asked to prove Theorem 7

The interactive presentation of Theorem 7

To view this presentation, click here

Further important information on Theorem 7

For further information on this Theorem presented in an interactive manner, click here

Worked solution to tonights homework
To view a worked solution to the homework, please click here. (Please note that the solution covers 2 slides)